x的四次方-4等于0解
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x^4+(1/x)^4=[x^2+(1/x)^2]^2-2*x^2*(1/x)^2=[x^2+(1/x)^2]^2-2=[(x+1/x)^2-2*x*(1/x)]^2-2=[(x+1/x)^2-2]^
∵x²-3x+1=0∴x²+1=3x(x²+1)×1/x=3x×1/x∴x+(1/x)=3∴[x+(1/x)]²=3²x²+2×x×1/x+
x^2-3x+1=0x-3+1/x=0x+1/x=3(x+1/x)^2=9x^2+2+1/x^2=9x^2+1/x^2=7(x^2+1/x^2)^2=49x^4+2+1/x^4=49x^4+1/x^4
X²+2X-1=0两边同时除以x得x+2-1/x=0x-1/x=-2两边同时平方得x²+1/x²=6两边同时平方得x4+1/x4=34
因为X^2-3X-1=0所以x-1/x=3(x-1/x)^2=3^2=9x^2+1/x^2-2=9x^2+1/x^2=11(x^2+1/x^2)^2=121x^4+1/x^4=121-2x^4-3+1
x²+3x+1=0除以x得x+3+1/x=0x+1/x=-3∴(x+1/x)²=x²+2+1/x²=9即x²+1/x²=9-2=7∴﹙x
x^2-5x+1=0显然x不是0,两边除以x有x-5+1/x=0也就是x+1/x=5所以x^2+1/(x^2)=(x+1/x)^2-2=23x^4+1/(x^4)=(x^2+1/(x^2))^2-2=
由于X^2--4X+1=0所以X=2--根号3或X=2+根号3所以X的四次方加X的负四次方的值为1/或1/
x^4:表示x的4次方2x^4-x³-7x²+x+2=0(2x^4-8x²)-(x³-4x)+(x²-3x+2)=02x²(x²-
x²+1=-4x两边除以xx+1/x=-4两边平方x²+2+1/x²=16x²+1/x²=14两边平方x四次方+2+1/x四次方=196x四次方+1/
x的四次方-4x²+3=(x²-1)(x²-3)=(x+1)(x-1)(x²-3)如果本题有什么不明白可以追问,如果满意请点击“选为满意答案”
x-1/x=3(x-1/x)2=x2-2+1/x2=9x2+1/x2=11(x+1/x)2=11+2=13x4-1/x4=(x2+1/x2)(x2-1/x2)=11(x+1/x)(x-1/x)=33(
再问:x²(x+2)=1能求出吗?再答:-1再问:我查了,4个解
x²-4x+1=0两边同时除以xx-4+1/x=0x+1/x=4两边同时平方x²+2+1/x²=16x²+1/x²=14两边同时平方x^4+2+1/x
x的4次方-4x平方-32=0(x²+4)(x²-8)=0x²=8x=±根号8如果本题有什么不明白可以追问,
X^4-X^3+X^2-X=0提公因式得X^3(X-1)+X(X-1)=0(X-1)(X^3+X)=0(X-1)(X^2+1)X=0X^2+1为正数,不可能为0,故只有(X-1)X=0方程的根为1和0
3x的四次方减11x的平方减4等于0(3x²+1)(x²-4)=0;(3x²+1)(x+2)(x-2)=0;所以x=-2或x=2;手机提问的朋友在客户端右上角评价点【满意
3x的四次方-11x的二次方-4=0的解3x^4-11x^2-4=0(3x+1)(x-4)=0x=-1/3或者x=4
-16x^4+81y^4=(9y^2-4x^2)(9y^2+4x^2)=(3y-2x)(3y+2x)(9y^2+4x^2)